Ignition Override,
In the case you describe, yes, refuse the aircraft. Your reasons are well founded and it is your call. I don't know what aircraft you are on but for our operations, anti-skid inop operations are only allowed on DRY runways as per Boeing procedure. And of course considering the factors such as runways length you are going to are also key to deciding if you will take the aircraft there. Plus the other performance penalties. From company experience, anti-skid inop is not to be underestimated. You'll also lose your auto brakes, touch down and locked wheel protection. I would only go short sectors to long, dry runways where I'd use minmum braking and more reverse thrust till a slow speed to ease on the brakes. It's really easy to get a flat spot as you described as we are so used to having all the braking and skid protection in our braking system.